To solve this problem, we first need to understand that the ratio a:b = 3:2 means that a is equivalent to 3x and b is equivalent to 2x for some real number x.

Step 1: Substitute a and b in the expression (5a+2b):(3a+4b) with 3x and 2x respectively.

This gives us (5(3x) + 2(2x)) : (3(3x) + 4(2x)).

Step 2: Simplify the expressions.

This results in (15x + 4x) : (9x + 8x), which simplifies to 19x : 17x.

Step 3: Since x is a common factor in both parts of the ratio, we can cancel it out.

This leaves us with the ratio 19:17.

So, if a:b = 3:2, then (5a+2b):(3a+4b) is equal to 19:17.

Question

To solve this problem, we first need to understand that the ratio a:b = 3:2 means that a is equivalent to 3x and b is equivalent to 2x for some real number x.

Step 1: Substitute a and b in the expression (5a+2b):(3a+4b) with 3x and 2x respectively.

This gives us (5(3x) + 2(2x)) : (3(3x) + 4(2x)).

Step 2: Simplify the expressions.

This results in (15x + 4x) : (9x + 8x), which simplifies to 19x : 17x.

Step 3: Since x is a common factor in both parts of the ratio, we can cancel it out.

This leaves us with the ratio 19:17.

So, if a:b = 3:2, then (5a+2b):(3a+4b) is equal to 19:17.

Knowee AI · Accepted Answer

To solve this problem, we first need to understand that the ratio a:b = 3:2 means that a is equivalent to 3x and b is equivalent to 2x for some real number x.

Step 1: Substitute a and b in the expression (5a+2b):(3a+4b) with 3x and 2x respectively.

This gives us (5(3x) + 2(2x)) : (3(3x) + 4(2x)).

Step 2: Simplify the expressions.

This results in (15x + 4x) : (9x + 8x), which simplifies to 19x : 17x.

Step 3: Since x is a common factor in both parts of the ratio, we can cancel it out.

This leaves us with the ratio 19:17.

So, if a:b = 3:2, then (5a+2b):(3a+4b) is equal to 19:17.

If 𝒂:𝒃=𝟑:𝟐, then (𝟓𝒂+𝟐𝒃):(𝟑𝒂+𝟒𝒃) is equal to?Options17:148:716:1519:17

Question

Solution

Similar Questions

Upgrade your grade with Knowee